5 - c. hasme manufacturing, inc., produces small components for computer systems. quality control is very…

5 - c. hasme manufacturing, inc., produces small components for computer systems. quality control is very important, so each product is carefully tested when it is completed. if the product does not meet quality standards, it is rejected and returned for improvement. management is also concerned that quantity standards are maintained so that orders are filled on schedule.\njan rankin, vice president of manufacturing, has collected information on production levels for four weeks. the production for each day of the week was totaled during the four - week period. the chart below shows the total number of items produced and the total number rejected for each day of the week for four weeks.\n\n| | monday | tuesday | wednesday | thursday | friday |\n|--|--|--|--|--|--|\n| total parts produced | 1,480 | 1,500 | 1,520 | 1,550 | 1,460 |\n| total parts rejected | 172 | 140 | 125 | 111 | 169 |\n\n1. on which day of the week were the most acceptable components produced?\n2. on which day were the fewest acceptable components produced?\n3. how many parts were produced on an average workday at hasme manufacturing?\n4. how many parts were rejected on an average workday?\n5. using the information in the chart above, construct a bar graph on the form on the next page. the graph should show the percentage of component parts rejected for each day of the week.
Answer
Explanation:
Step1: Calculate acceptable components for each day
Acceptable = Produced - Rejected Monday: $1480 - 172=1308$ Tuesday: $1500 - 140 = 1360$ Wednesday: $1520 - 125=1395$ Thursday: $1550 - 111 = 1439$ Friday: $1460 - 169 = 1291$
Step2: Find day with most acceptable components
By comparing values from Step1, Thursday has the highest number of acceptable components.
Step3: Find day with fewest acceptable components
By comparing values from Step1, Friday has the fewest acceptable components.
Step4: Calculate average parts produced
Total produced = $1480+1500+1520+1550+1460 = 7510$ Average produced = $\frac{7510}{5}=1502$
Step5: Calculate average parts rejected
Total rejected = $172 + 140+125+111+169 = 717$ Average rejected = $\frac{717}{5}=143.4$
Step6: Calculate percentage of rejected parts for bar - graph
Monday: $\frac{172}{1480}\times100%\approx11.62%$ Tuesday: $\frac{140}{1500}\times100%\approx9.33%$ Wednesday: $\frac{125}{1520}\times100%\approx8.22%$ Thursday: $\frac{111}{1550}\times100%\approx7.16%$ Friday: $\frac{169}{1460}\times100%\approx11.58%$
Answer:
- Thursday
- Friday
- 1502
- 143.4
- Bar - graph with percentages: Monday $\approx11.62%$, Tuesday $\approx9.33%$, Wednesday $\approx8.22%$, Thursday $\approx7.16%$, Friday $\approx11.58%$